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What is the length of side b to the nearest whole number if side a 24 and angle A 42 degrees and angle B 87 degrees?
If you draw a line perpendicular to side c and intersecting the vertex of angle C, you make two right triangles. Let's call the perpendicular segment side d. Now the sinB = d/a, so d = a sinB = 24 * sin87° ≈ 23.967. SinA = d/b, so b = d ÷ sinA = 23.967 ÷ sin42° ≈ 36.
How do you prove that two right triangles are congruent if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and acute angle of the other?
Let ABC and DEF be triangles which are right angled at A and D, such that the hypotenuses BC and EF are equal and, without loss of generality, angle B = angle E.ThenThen by the sine rule, BC/sin(A) = AC/sin(B) and EF/sin(D) = DF/sin(E)Since angle A = angle D = pi/2 radians, then sin(A) = sin(D) = 1so that BC/sin(A) = BC while EF/sin(D) = EFtherefore, since the hypotenuses BC and EF are equal, the left hand sides of the two equations are equal.Therefore, AC/sin(B) = DF/sin(E)then, since angle B = angle E, then sin(B) = sin(E) so that AC = DF.Also, angle C = pi/2 - angle Band angle F = pi/2 - angle Ethe right hand sides are equal so angle C = angle F.Then in a manner similar to the above, we can show that AB = DE.Thus all three pairs of corresponding sides are equal and all three pairs of corresponding angles are equal so that the two triangles are congruent.
Which term best describes the angle to the right a obtuse b right c straight d acute?
LEG!
What is a 2 dimensional shape that has no right angles?
A circle, it has no angles.There are a infinite number of 2-d shapes that have no right angles.TrapeziumRhombusAll polygons except a square or a rectangleAll triangles except a right angle triangleAny irregular shapeetc.etc.
How do you find unknown angles of a trapezoid?
First identify the two lines that are parallel. Call these the top and bottom lines. Mark the two corners on the left A and B. Then angle A + angle B = 180 degrees. Next, mark the two corners on the right C and D. Angle C + angle D = 180 degrees. Hope this helps :)
